391 citations · 392 across the 2 of their papers we have counts for
2 papers
math.MG2025★ 391 cited
The Logarithmic Minkowski Problem
Károly J. Böröczky, Erwin Lutwak, Deane Yang +1
In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the u…
math.MG2024★ 1 cited
Strengthened inequalities for the mean width and the -norm of origin symmetric convex bodies
Károly J. Böröczky, Ferenc Fodor, Daniel Hug
Barthe, Schechtman and Schmuckenschläger proved that the cube maximizes the mean width of symmetric convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the bo…